105577828 has 12 divisors (see below), whose sum is σ = 185053932. Its totient is φ = 52705280.

The previous prime is 105577811. The next prime is 105577831. The reversal of 105577828 is 828775501.

It can be written as a sum of positive squares in 2 ways, for example, as 63872064 + 41705764 = 7992^2 + 6458^2 .

It is a super-2 number, since 2×105577828² = 22293355530395168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18025 + ... + 23152.

It is an arithmetic number, because the mean of its divisors is an integer number (15421161).

Almost surely, 2^105577828 is an apocalyptic number.

It is an amenable number.

105577828 is a deficient number, since it is larger than the sum of its proper divisors (79476104).

105577828 is a wasteful number, since it uses less digits than its factorization.

105577828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41822 (or 41820 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 43.

The square root of 105577828 is about 10275.1072013872. The cubic root of 105577828 is about 472.6332171985.

The spelling of 105577828 in words is "one hundred five million, five hundred seventy-seven thousand, eight hundred twenty-eight".